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Finding the Fourth Proportional to 2,002.68, 3,003.48 and 703.44

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Solution

The fourth proportional to 2,002.68, 3,003.48 and 703.44 is: 1,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.68 : 3,003.48 = 703.44 : x
  2. Step 2: Convert to fraction form
    2,002.68/3,003.48 = 703.44/x
  3. Step 3: Cross multiply
    2,002.68x = 3,003.48 × 703.44
  4. Step 4: Simplify right side
    2,002.68x = 2,112,767.97
  5. Step 5: Solve for x
    x = 2,112,767.97/2,002.68
  6. Step 6: Final answer
    x = 1,054.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.